Trigonometry - Find Values of Trigonometric Ratios Greater than 90 Degrees Trigonometry class 10

Trigonometry - Find Values of Trigonometric Ratios Greater than 90 Degrees Trigonometry class 10

The angles by which trigonometric functions can be represented are called as trigonometry angles. The important angles of trigonometry are 0°, 30°, 45°, 60°, 90°. These are the standard angles of trigonometric ratios, such as sin, cos, tan, sec, cosec, and cot. Each of these angles has different values with different trigonometry functions.

Trigonometry angles are the angles given by the ratios of the trigonometric functions. Trigonometry deals with the study of the relationship between angles and the sides of a triangle. The angle value ranges from 0-360 degrees. The important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°. And the important six trigonometric ratios or functions are sine, cosine, tangent, cosecant, secant and cotangent.

Sin 0 1/2 1/2 √3/2 1 0-1 0

Cos 1 √3/2 1/2 1/2 0-1 01

Tan 0 1/√3 1 √3 ∞ 0 ∞ 0

Cot ∞ √3 1 1/√3 0 oo 1 00

Angle (in Degrees) 0° 30° 45° 60° 90° 180° 270° 360° Angle (in Radians) 0 п/6 п/4 п/3 п/2 п зп/2 2π 1 1
Formulae:

Supplementary angles (= sum is П)

Sin (a) = sin a

Сos (пα) = cos a - Tan (a) tan a

==

Cot (na) cot a ==

Anti-supplementary Angles (= difference is П)

Sin (+α) = sin a π+ -

Сos (+α) = cos a

Тan (+α) = tan a

Cot (n+a) = cot a

Opposite Angles ( = sum is 2π) Sin (2π-α) = - sin a

Сos (2π-α) = cos a

Tan (2π α) = -tan a -

Cot (2a) = - cot a

Complementary Angles (= sum is π/2)

Sin (π/2a) = cos a

Сos (π/2α) = sin a

Тan (π/2α) = cot a

Сot (π/2a) = tan a Tan (π/2 - α) = cot a

Cot (n/2a) tan a =

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[pradip]

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